{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Robust Kalman filtering for vehicle tracking\n",
    "\n",
    "We will try to pinpoint the location of a moving vehicle with high accuracy from noisy sensor data. We'll do this by modeling the vehicle state as a discrete-time linear dynamical system. Standard **Kalman filtering** can be used to approach this problem when the sensor noise is assumed to be Gaussian. We'll use **robust Kalman filtering** to get a more accurate estimate of the vehicle state for a non-Gaussian case with outliers.\n",
    "\n",
    "# Problem statement\n",
    " \n",
    "A discrete-time linear dynamical system consists of a sequence of state vectors $x_t \\in \\mathbf{R}^n$, indexed by time $t \\in \\lbrace 0, \\ldots, N-1 \\rbrace$ and dynamics equations\n",
    "\n",
    "\\begin{align}\n",
    "x_{t+1} &= Ax_t + Bw_t\\\\\n",
    "y_t &=Cx_t + v_t,\n",
    "\\end{align}\n",
    "\n",
    "where $w_t \\in \\mathbf{R}^m$ is an input to the dynamical system (say, a drive force on the vehicle), $y_t \\in \\mathbf{R}^r$ is a state measurement, $v_t \\in \\mathbf{R}^r$ is noise, $A$ is the drift matrix, $B$ is the input matrix, and $C$ is the observation matrix.\n",
    "\n",
    "Given $A$, $B$, $C$, and $y_t$ for $t = 0, \\ldots, N-1$, the goal is to estimate $x_t$ for $t = 0, \\ldots, N-1$.\n",
    "\n",
    "# Kalman filtering\n",
    "\n",
    "A Kalman filter estimates $x_t$ by solving the optimization problem\n",
    "\n",
    "\\begin{array}{ll}\n",
    "\\mbox{minimize} & \\sum_{t=0}^{N-1} \\left( \n",
    "\\|w_t\\|_2^2 + \\tau \\|v_t\\|_2^2\\right)\\\\\n",
    "\\mbox{subject to} & x_{t+1} = Ax_t + Bw_t,\\quad t=0,\\ldots, N-1\\\\\n",
    "& y_t = Cx_t+v_t,\\quad t = 0, \\ldots, N-1,\n",
    "\\end{array}\n",
    "\n",
    "where $\\tau$ is a tuning parameter. This problem is actually a least squares problem, and can be solved via linear algebra, without the need for more general convex optimization. Note that since we have no observation $y_{N}$, $x_N$ is only constrained via $x_{N} = Ax_{N-1} + Bw_{N-1}$, which is trivially resolved when $w_{N-1} = 0$ and $x_{N} = Ax_{N-1}$. We maintain this vestigial constraint only because it offers a concise problem statement.\n",
    "\n",
    "This model performs well when $w_t$ and $v_t$ are Gaussian. However, the quadratic objective can be influenced by large outliers, which degrades the accuracy of the recovery. To improve estimation in the presence of outliers, we can use **robust Kalman filtering**.\n",
    "\n",
    "# Robust Kalman filtering\n",
    "\n",
    "To handle outliers in $v_t$, robust Kalman filtering replaces the quadratic cost with a Huber cost, which results in the convex optimization problem\n",
    "\n",
    "\\begin{array}{ll}\n",
    "\\mbox{minimize} & \\sum_{t=0}^{N-1} \\left( \\|w_t\\|^2_2 + \\tau \\phi_\\rho(v_t) \\right)\\\\\n",
    "\\mbox{subject to} & x_{t+1} = Ax_t + Bw_t,\\quad t=0,\\ldots, N-1\\\\\n",
    "& y_t = Cx_t+v_t,\\quad t=0,\\ldots, N-1,\n",
    "\\end{array}\n",
    "\n",
    "where $\\phi_\\rho$ is the Huber function\n",
    "$$\n",
    "\\phi_\\rho(a)= \\left\\{ \\begin{array}{ll} \\|a\\|_2^2 & \\|a\\|_2\\leq \\rho\\\\\n",
    "2\\rho \\|a\\|_2-\\rho^2 & \\|a\\|_2>\\rho.\n",
    "\\end{array}\\right.\n",
    "$$\n",
    "\n",
    "The Huber penalty function penalizes estimation error linearly outside of a ball of radius $\\rho$, whereas in standard Kalman filtering, all errors are penalized quadratically. Thus, large errors are penalized less harshly, making this model more robust to outliers.\n",
    "\n",
    "# Vehicle tracking example\n",
    "\n",
    "We'll apply standard and robust Kalman filtering to a vehicle tracking problem with state $x_t \\in \\mathbf{R}^4$, where\n",
    "$(x_{t,0}, x_{t,1})$ is the position of the vehicle in two dimensions, and $(x_{t,2}, x_{t,3})$ is the vehicle velocity.\n",
    "The vehicle has unknown drive force $w_t$, and we observe noisy measurements of the vehicle's position, $y_t \\in \\mathbf{R}^2$.\n",
    "\n",
    "The matrices for the dynamics are\n",
    "\n",
    "$$\n",
    "A = \\begin{bmatrix}\n",
    "1 & 0 & \\left(1-\\frac{\\gamma}{2}\\Delta t\\right) \\Delta t & 0 \\\\\n",
    "0 & 1 & 0 & \\left(1-\\frac{\\gamma}{2} \\Delta t\\right) \\Delta t\\\\\n",
    "0 & 0 & 1-\\gamma \\Delta t & 0 \\\\\n",
    "0 & 0 & 0 & 1-\\gamma \\Delta t\n",
    "\\end{bmatrix},\n",
    "$$\n",
    "\n",
    "$$\n",
    "B = \\begin{bmatrix}\n",
    "\\frac{1}{2}\\Delta t^2 & 0 \\\\\n",
    "0 & \\frac{1}{2}\\Delta t^2 \\\\\n",
    "\\Delta t & 0 \\\\\n",
    "0 & \\Delta t \\\\\n",
    "\\end{bmatrix},\n",
    "$$\n",
    "\n",
    "$$\n",
    "C = \\begin{bmatrix}\n",
    "1 & 0 & 0 & 0 \\\\\n",
    "0 & 1 & 0 & 0\n",
    "\\end{bmatrix},\n",
    "$$\n",
    "where $\\gamma$ is a velocity damping parameter.\n",
    "\n",
    "# 1D Model\n",
    "The recurrence is derived from the following relations in a single dimension. For this subsection, let $x_t, v_t, w_t$ be the vehicle position, velocity, and input drive force. The resulting acceleration of the vehicle is $w_t - \\gamma v_t$, with $- \\gamma v_t$ is a damping term depending on velocity with parameter $\\gamma$. \n",
    "\n",
    "The discretized dynamics are obtained from numerically integrating:\n",
    "$$\n",
    "\\begin{align}\n",
    "x_{t+1} &= x_t + \\left(1-\\frac{\\gamma \\Delta t}{2}\\right)v_t \\Delta t + \\frac{1}{2}w_{t} \\Delta t^2\\\\\n",
    "v_{t+1} &= \\left(1-\\gamma\\right)v_t + w_t \\Delta t.\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "Extending these relations to two dimensions gives us the dynamics matrices $A$ and $B$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Helper Functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "def plot_state(t,actual, estimated=None):\n",
    "    '''\n",
    "    plot position, speed, and acceleration in the x and y coordinates for\n",
    "    the actual data, and optionally for the estimated data\n",
    "    '''\n",
    "    trajectories = [actual]\n",
    "    if estimated is not None:\n",
    "        trajectories.append(estimated)\n",
    "        \n",
    "    fig, ax = plt.subplots(3, 2, sharex='col', sharey='row', figsize=(8,8))\n",
    "    for x, w in trajectories:  \n",
    "        ax[0,0].plot(t,x[0,:-1])\n",
    "        ax[0,1].plot(t,x[1,:-1])\n",
    "        ax[1,0].plot(t,x[2,:-1])\n",
    "        ax[1,1].plot(t,x[3,:-1])\n",
    "        ax[2,0].plot(t,w[0,:])\n",
    "        ax[2,1].plot(t,w[1,:])\n",
    "        \n",
    "    ax[0,0].set_ylabel('x position')\n",
    "    ax[1,0].set_ylabel('x velocity')\n",
    "    ax[2,0].set_ylabel('x input')\n",
    "    \n",
    "    ax[0,1].set_ylabel('y position')\n",
    "    ax[1,1].set_ylabel('y velocity')\n",
    "    ax[2,1].set_ylabel('y input')\n",
    "    \n",
    "    ax[0,1].yaxis.tick_right()\n",
    "    ax[1,1].yaxis.tick_right()\n",
    "    ax[2,1].yaxis.tick_right()\n",
    "    \n",
    "    ax[0,1].yaxis.set_label_position(\"right\")\n",
    "    ax[1,1].yaxis.set_label_position(\"right\")\n",
    "    ax[2,1].yaxis.set_label_position(\"right\")\n",
    "    \n",
    "    ax[2,0].set_xlabel('time')\n",
    "    ax[2,1].set_xlabel('time')\n",
    "\n",
    "def plot_positions(traj, labels, axis=None,filename=None):\n",
    "    '''\n",
    "    show point clouds for true, observed, and recovered positions\n",
    "    '''\n",
    "    matplotlib.rcParams.update({'font.size': 14})\n",
    "    n = len(traj)\n",
    "\n",
    "    fig, ax = plt.subplots(1, n, sharex=True, sharey=True,figsize=(12, 5))\n",
    "    if n == 1:\n",
    "        ax = [ax]\n",
    "    \n",
    "    for i,x in enumerate(traj):\n",
    "        ax[i].plot(x[0,:], x[1,:], 'ro', alpha=.1)\n",
    "        ax[i].set_title(labels[i])\n",
    "        if axis:\n",
    "            ax[i].axis(axis)\n",
    "    \n",
    "    if filename:\n",
    "        fig.savefig(filename, bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Problem Data\n",
    "\n",
    "We generate the data for the vehicle tracking problem. We'll have $N=1000$, $w_t$ a standard Gaussian, and $v_t$ a standard Guassian, except $20\\%$ of the points will be outliers with $\\sigma = 20$.\n",
    "\n",
    "Below, we set the problem parameters and define the matrices $A$, $B$, and $C$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 1000 # number of timesteps\n",
    "T = 50 # time will vary from 0 to T with step delt\n",
    "ts, delt = np.linspace(0,T,n,endpoint=True, retstep=True)\n",
    "gamma = .05 # damping, 0 is no damping\n",
    "\n",
    "A = np.zeros((4,4))\n",
    "B = np.zeros((4,2))\n",
    "C = np.zeros((2,4))\n",
    "\n",
    "A[0,0] = 1\n",
    "A[1,1] = 1\n",
    "A[0,2] = (1-gamma*delt/2)*delt\n",
    "A[1,3] = (1-gamma*delt/2)*delt\n",
    "A[2,2] = 1 - gamma*delt\n",
    "A[3,3] = 1 - gamma*delt\n",
    "\n",
    "B[0,0] = delt**2/2\n",
    "B[1,1] = delt**2/2\n",
    "B[2,0] = delt\n",
    "B[3,1] = delt\n",
    "\n",
    "C[0,0] = 1\n",
    "C[1,1] = 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simulation\n",
    "\n",
    "We seed $x_0 = 0$ (starting at the origin with zero velocity) and simulate the system forward in time. The results are the true vehicle positions `x_true` (which we will use to judge our recovery) and the observed positions `y`.\n",
    "\n",
    "We plot the position, velocity, and system input $w$ in both dimensions as a function of time.\n",
    "We also plot the sets of true and observed vehicle positions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 576x576 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sigma = 20\n",
    "p = .20\n",
    "np.random.seed(6)\n",
    "\n",
    "x = np.zeros((4,n+1))\n",
    "x[:,0] = [0,0,0,0]\n",
    "y = np.zeros((2,n))\n",
    "\n",
    "# generate random input and noise vectors\n",
    "w = np.random.randn(2,n)\n",
    "v = np.random.randn(2,n)\n",
    "\n",
    "# add outliers to v\n",
    "np.random.seed(0)\n",
    "inds = np.random.rand(n) <= p\n",
    "v[:,inds] = sigma*np.random.randn(2,n)[:,inds]\n",
    "\n",
    "# simulate the system forward in time\n",
    "for t in range(n):\n",
    "    y[:,t] = C.dot(x[:,t]) + v[:,t]\n",
    "    x[:,t+1] = A.dot(x[:,t]) + B.dot(w[:,t])\n",
    "    \n",
    "x_true = x.copy()\n",
    "w_true = w.copy()\n",
    "\n",
    "plot_state(ts,(x_true,w_true))\n",
    "plot_positions([x_true,y], ['True', 'Observed'],[-4,14,-5,20],'rkf1.pdf')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Kalman filtering recovery\n",
    "\n",
    "The code below solves the standard Kalman filtering problem using CVXPY. We plot and compare the true and recovered vehicle states. Note that the recovery is distorted by outliers in the measurements."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-----------------------------------------------------------------\n",
      "           OSQP v0.4.1  -  Operator Splitting QP Solver\n",
      "              (c) Bartolomeo Stellato,  Goran Banjac\n",
      "        University of Oxford  -  Stanford University 2018\n",
      "-----------------------------------------------------------------\n",
      "problem:  variables n = 8004, constraints m = 6000\n",
      "          nnz(P) + nnz(A) = 22000\n",
      "settings: linear system solver = qdldl,\n",
      "          eps_abs = 1.0e-03, eps_rel = 1.0e-03,\n",
      "          eps_prim_inf = 1.0e-04, eps_dual_inf = 1.0e-04,\n",
      "          rho = 1.00e-01 (adaptive),\n",
      "          sigma = 1.00e-06, alpha = 1.60, max_iter = 4000\n",
      "          check_termination: on (interval 25),\n",
      "          scaling: on, scaled_termination: off\n",
      "          warm start: on, polish: on\n",
      "\n",
      "iter   objective    pri res    dua res    rho        time\n",
      "   1   0.0000e+00   6.14e+01   6.14e+03   1.00e-01   1.28e-02s\n",
      "  50   1.1057e+04   3.57e-07   8.27e-08   1.00e-01   3.01e-02s\n",
      "plsh   1.1057e+04   7.11e-15   1.24e-14   --------   3.78e-02s\n",
      "\n",
      "status:               solved\n",
      "solution polish:      successful\n",
      "number of iterations: 50\n",
      "optimal objective:    11057.3550\n",
      "run time:             3.78e-02s\n",
      "optimal rho estimate: 7.70e-02\n",
      "\n",
      "optimal objective value: 11057.354957764113\n",
      "CPU times: user 13 s, sys: 598 ms, total: 13.6 s\n",
      "Wall time: 13.8 s\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%time\n",
    "import cvxpy as cp\n",
    "\n",
    "x = cp.Variable(shape=(4, n+1))\n",
    "w = cp.Variable(shape=(2, n))\n",
    "v = cp.Variable(shape=(2, n))\n",
    "\n",
    "tau = .08\n",
    "    \n",
    "obj = cp.sum_squares(w) + tau*cp.sum_squares(v)\n",
    "obj = cp.Minimize(obj)\n",
    "\n",
    "constr = []\n",
    "for t in range(n):\n",
    "    constr += [ x[:,t+1] == A*x[:,t] + B*w[:,t] ,\n",
    "                y[:,t]   == C*x[:,t] + v[:,t]   ]\n",
    "\n",
    "cp.Problem(obj, constr).solve(verbose=True)\n",
    "\n",
    "x = np.array(x.value)\n",
    "w = np.array(w.value)\n",
    "\n",
    "plot_state(ts,(x_true,w_true),(x,w))\n",
    "plot_positions([x_true,y], ['True', 'Noisy'], [-4,14,-5,20])\n",
    "plot_positions([x_true,x], ['True', 'KF recovery'], [-4,14,-5,20], 'rkf2.pdf')\n",
    "\n",
    "print(\"optimal objective value: {}\".format(obj.value))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Robust Kalman filtering recovery\n",
    "\n",
    "Here we implement robust Kalman filtering with CVXPY. We get a better recovery than the standard Kalman filtering, which can be seen in the plots below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "ECOS 2.0.4 - (C) embotech GmbH, Zurich Switzerland, 2012-15. Web: www.embotech.com/ECOS\n",
      "\n",
      "It     pcost       dcost      gap   pres   dres    k/t    mu     step   sigma     IR    |   BT\n",
      " 0  +0.000e+00  -2.923e+02  +7e+05  3e-01  3e-02  1e+00  2e+02    ---    ---    1  1  - |  -  - \n",
      " 1  +5.090e+02  +4.360e+02  +2e+05  4e-01  1e-02  3e+01  6e+01  0.8051  2e-01   2  1  1 |  0  0\n",
      " 2  +4.188e+03  +4.134e+03  +2e+05  3e-01  9e-03  3e+01  5e+01  0.4259  6e-01   1  1  1 |  0  0\n",
      " 3  +9.956e+03  +9.923e+03  +1e+05  3e-01  8e-03  4e+01  4e+01  0.5830  5e-01   1  1  2 |  0  0\n",
      " 4  +1.881e+04  +1.880e+04  +7e+04  3e-01  5e-03  3e+01  2e+01  0.7189  3e-01   1  1  1 |  0  0\n",
      " 5  +2.572e+04  +2.572e+04  +4e+04  2e-01  3e-03  2e+01  1e+01  0.5464  3e-01   1  1  1 |  0  0\n",
      " 6  +2.986e+04  +2.985e+04  +3e+04  2e-01  2e-03  1e+01  6e+00  0.5716  3e-01   2  2  1 |  0  0\n",
      " 7  +3.262e+04  +3.262e+04  +1e+04  9e-02  1e-03  7e+00  3e+00  0.6007  2e-01   2  2  2 |  0  0\n",
      " 8  +3.425e+04  +3.425e+04  +8e+03  5e-02  7e-04  5e+00  2e+00  0.5871  3e-01   2  2  2 |  0  0\n",
      " 9  +3.601e+04  +3.601e+04  +4e+03  3e-02  3e-04  2e+00  9e-01  0.6383  2e-01   2  2  2 |  0  0\n",
      "10  +3.728e+04  +3.727e+04  +2e+03  1e-02  2e-04  1e+00  5e-01  0.7925  4e-01   2  2  2 |  0  0\n",
      "11  +3.759e+04  +3.759e+04  +1e+03  1e-02  1e-04  1e+00  3e-01  0.5191  5e-01   2  2  2 |  0  0\n",
      "12  +3.824e+04  +3.824e+04  +6e+02  6e-03  5e-05  5e-01  2e-01  0.9890  4e-01   2  2  2 |  0  0\n",
      "13  +3.860e+04  +3.860e+04  +3e+02  3e-03  2e-05  3e-01  7e-02  0.6740  2e-01   2  2  2 |  0  0\n",
      "14  +3.864e+04  +3.864e+04  +3e+02  3e-03  2e-05  3e-01  7e-02  0.2982  7e-01   2  2  3 |  0  0\n",
      "15  +3.876e+04  +3.876e+04  +2e+02  2e-03  1e-05  2e-01  4e-02  0.9890  6e-01   2  2  2 |  0  0\n",
      "16  +3.889e+04  +3.889e+04  +8e+01  1e-03  4e-06  1e-01  2e-02  0.7740  4e-01   3  3  3 |  0  0\n",
      "17  +3.899e+04  +3.899e+04  +2e+01  4e-04  1e-06  3e-02  6e-03  0.9702  3e-01   3  3  3 |  0  0\n",
      "18  +3.901e+04  +3.901e+04  +1e+01  4e-04  6e-07  3e-02  4e-03  0.6771  5e-01   4  3  3 |  0  0\n",
      "19  +3.903e+04  +3.903e+04  +7e+00  2e-04  3e-07  2e-02  2e-03  0.9383  5e-01   3  2  3 |  0  0\n",
      "20  +3.905e+04  +3.905e+04  +2e+00  1e-04  1e-07  1e-02  6e-04  0.8982  3e-01   4  4  4 |  0  0\n",
      "21  +3.906e+04  +3.906e+04  +9e-01  5e-05  5e-08  5e-03  2e-04  0.9342  3e-01   3  2  3 |  0  0\n",
      "22  +3.907e+04  +3.907e+04  +3e-01  4e-05  3e-08  4e-03  8e-05  0.8457  3e-01   5  4  4 |  0  0\n",
      "23  +3.908e+04  +3.908e+04  +8e-02  1e-05  8e-09  1e-03  2e-05  0.9890  3e-01   3  3  3 |  0  0\n",
      "24  +3.908e+04  +3.908e+04  +1e-02  2e-06  2e-09  2e-04  3e-06  0.9013  5e-02   3  3  3 |  0  0\n",
      "25  +3.908e+04  +3.908e+04  +2e-03  4e-07  4e-10  4e-05  5e-07  0.9207  8e-02   3  2  2 |  0  0\n",
      "26  +3.908e+04  +3.908e+04  +7e-04  2e-07  2e-10  2e-05  2e-07  0.9890  4e-01   2  2  2 |  0  0\n",
      "27  +3.908e+04  +3.908e+04  +8e-05  3e-08  5e-11  2e-06  2e-08  0.9009  2e-02   2  2  2 |  0  0\n",
      "28  +3.908e+04  +3.908e+04  +2e-05  1e-08  2e-11  4e-07  5e-09  0.9890  2e-01   2  2  2 |  0  0\n",
      "29  +3.908e+04  +3.908e+04  +2e-06  3e-09  5e-12  5e-08  5e-10  0.9058  2e-02   2  1  1 |  0  0\n",
      "\n",
      "OPTIMAL (within feastol=3.1e-09, reltol=5.3e-11, abstol=2.1e-06).\n",
      "Runtime: 1.129066 seconds.\n",
      "\n",
      "optimal objective value: 39077.76954636933\n",
      "CPU times: user 3min 37s, sys: 3.44 s, total: 3min 41s\n",
      "Wall time: 3min 55s\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%time\n",
    "import cvxpy as cp\n",
    "\n",
    "x = cp.Variable(shape=(4, n+1))\n",
    "w = cp.Variable(shape=(2, n))\n",
    "v = cp.Variable(shape=(2, n))\n",
    "\n",
    "tau = 2\n",
    "rho = 2\n",
    "    \n",
    "obj = cp.sum_squares(w)\n",
    "obj += cp.sum([tau*cp.huber(cp.norm(v[:,t]),rho) for t in range(n)])\n",
    "obj = cp.Minimize(obj)\n",
    "\n",
    "constr = []\n",
    "for t in range(n):\n",
    "    constr += [ x[:,t+1] == A*x[:,t] + B*w[:,t] ,\n",
    "                y[:,t]   == C*x[:,t] + v[:,t]   ]\n",
    "\n",
    "cp.Problem(obj, constr).solve(verbose=True)\n",
    "\n",
    "x = np.array(x.value)\n",
    "w = np.array(w.value)\n",
    "\n",
    "plot_state(ts,(x_true,w_true),(x,w))\n",
    "plot_positions([x_true,y], ['True', 'Noisy'], [-4,14,-5,20])\n",
    "plot_positions([x_true,x], ['True', 'Robust KF recovery'], [-4,14,-5,20],'rkf3.pdf')\n",
    "\n",
    "print(\"optimal objective value: {}\".format(obj.value))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
